When two standard dice are thrown, what is the probability that the sum of the dots on the two top faces will be 3? Express your answer using three significant digits.

0.056 = 5.56% probability that the sum of the dots on the two top faces will be 3

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have these possible outcomes:

Format (Top face A, Top face B)

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

There are 36 possible outcomes.

Desired outcomes:

Outcomes in which the sum of the dots on the top two faces will be 3.

(1,2)

(2,1)

Two possible outcomes.

Probability:

2/36 = 0.056 = 5.56% probability that the sum of the dots on the two top faces will be 3